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Finding the Third Proportional to 336,284 and 738,088

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Solution

The third proportional to 336,284 and 738,088 is: 1,619,981.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,284 : 738,088 = 738,088 : x
  2. Step 2: Convert to fraction form
    336,284/738,088 = 738,088/x
  3. Step 3: Cross multiply
    336,284x = 738,088 × 738,088
  4. Step 4: Simplify right side
    336,284x = 544,773,895,744
  5. Step 5: Solve for x
    x = 544,773,895,744/336,284
  6. Step 6: Final answer
    x = 1,619,981.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.